Chiral Corrections to the S-Wave Pion-Nucleon Scattering Lengths

Details Chiral Corrections to the S-Wave Pion-Nucleon Scattering Lengths Chiral Corrections to the S-Wave Pion-Nucleon Scattering Lengths

1993-04-20

arxiv.org/abs/hep-ph/9304275v1

Phys.Lett. B309 (1993) 421-425

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pp, TeX, 2 figures available upon request, BUTP-93/09 and CRN 93-13

Scientific paper

10.1016/0370-2693(93)90956-I

We calculate the chiral corrections to Weinberg's prediction for the S--wave $\pi N$ scattering lengths up--to--and--including order ${\cal O}(M_\pi^3)$ making use of heavy baryon chiral perturbation theory. For the isospin--odd scattering length $a^-$ these corrections are small and bring the prediction closer to the empirical value. In the case of the isospin--even $a^+$ large cancellations appear so that the ${\cal O}(M_\pi^3)$ result depends sensitively on certain resonance parameters which enter the calculation of the contact terms present at next--to--leading order.

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